The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula e-SP(x) dx y} (x) (5) Y2 = Y₁(x) [5 Y2 = -dx as instructed, to find a second solution y₂(x). x²y" - 7xy' + 16y=0; y₁ = x²4

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Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.